We report the carrier-doping effects in layered manganese oxysulfides Sr₂CuMnO₃S and Sr₄Cu₂Mn₃O_7.5S₂ with a two-dimensional SrMnO_x perovskite-like layer. According to the Cu 2p core-level x-ray photoemission spectroscopy (XPS), Cu ions of Sr₂CuMn_1-xZnO₃S and Sr_4-xLa_xCu₂Mn₃O_7.5S₂ are Cu¹⁺ and Cu¹⁺/Cu²⁺, respectively. On the other hand, the Mn 2p XPS spectra indicate that the Mn ions are Mn³⁺ in mother compounds (Sr₄Cu₂Mn₃O_7.5S₂ and Sr₂CuMnO₃S), and that they are Mn³⁺/Mn⁴⁺ in Sr₂CuMn_1-xZn_xO₃S. Sr₂CuMnO₃S exhibits low- dimensional antiferromagnetic ordering at 120K, while an increase tendency of magnetic susceptibility in cooling is observed below 50 K. The antiferromagnetic order of Sr₂CUMn_1-xZn_xO₃S (x ≤ 0.2) is destroyed by an increase in non-magnetic Zn²⁺ ions, and the steepness of the increase tendency of magnetic susceptibility in cooling is also enhanced by increasing Zn²⁺ ions. It is supposed that ferromagnetic and antiferromagnetic magnetic order co-exist in Sr₂CuMn_1-xZn_xO₃S. The La-doped samples Sr_4-xLa_xCu₂Mn₃O_7.5S₂ (x ≤ 0.2) show spin-glass-like behavior below 200 K. It is ascribed to the competition between the weak ferromagnetic double exchange interaction and the antiferromagnetic super-exchange interaction.